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Finding the Third Proportional to 49,518,334,694 and 108,764,679,640

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Solution

The third proportional to 49,518,334,694 and 108,764,679,640 is: 238,896,473,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,518,334,694 : 108,764,679,640 = 108,764,679,640 : x
  2. Step 2: Convert to fraction form
    49,518,334,694/108,764,679,640 = 108,764,679,640/x
  3. Step 3: Cross multiply
    49,518,334,694x = 108,764,679,640 × 108,764,679,640
  4. Step 4: Simplify right side
    49,518,334,694x = 11,829,755,537,191,830,814,720
  5. Step 5: Solve for x
    x = 11,829,755,537,191,830,814,720/49,518,334,694
  6. Step 6: Final answer
    x = 238,896,473,605.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.